Weiqi (圍棋 or 围棋) is the Chinese name for the game that is known in the West by its Japanese name 'Go' (碁).
In Korean it is called Baduk.
The Mandarin pronunciation is roughly "way-chee". The Wade-Giles spelling wei-ch'i is sometimes used instead of the pinyin weiqi.
In pinyin with tones, it's wei2 qi2.